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  1. Ontologically neutral arithmetic.Rolf A. Eberle - 1974 - Philosophia 4 (1):67-94.
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  • The ontology of words: Realism, nominalism, and eliminativism.J. T. M. Miller - 2020 - Philosophy Compass 15 (7):e12691.
    What are words? What makes two token words tokens of the same word-type? Are words abstract entities, or are they (merely) collections of tokens? The ontology of words tries to provide answers to these, and related questions. This article provides an overview of some of the most prominent views proposed in the literature, with a particular focus on the debate between type-realist, nominalist, and eliminativist ontologies of words.
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  • ¿De qué se trata la matemática?Gustavo Esteban Romero - 2020 - Scientia in Verba Magazine 6 (1):60-64.
    Las teorías que usamos para representar el mundo pueden ser extremadamente complejas. Abordan temas tales como electrones, campos cuánticos, estrellas de neutrones, materia oscura, redes neuronales, mercados económicos, la atmósfera y muchas otras entidades que suponemos existen en el universo. Al formular nuestras teorías, recurrimos a lenguajes exactos que nos permiten minimizar la vaguedad y expresarnos lo más precisa y cuantitativamente posible. Recurrimos a la matemática. Cuando formulamos nuestras teorías fácticas en lenguaje matemático, estas se refieren no solamente a objetos (...)
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  • Working from Within: The Nature and Development of Quine's Naturalism.Sander Verhaegh - 2018 - New York: Oxford University Press.
    During the past few decades, a radical shift has occurred in how philosophers conceive of the relation between science and philosophy. A great number of analytic philosophers have adopted what is commonly called a ‘naturalistic’ approach, arguing that their inquiries ought to be in some sense continuous with science. Where early analytic philosophers often relied on a sharp distinction between science and philosophy—the former an empirical discipline concerned with fact, the latter an a priori discipline concerned with meaning—philosophers today largely (...)
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  • Truth as Composite Correspondence.Gila Sher - 2015 - In T. Achourioti, H. Galinon, J. Martínez Fernández & K. Fujimoto (eds.), Unifying the Philosophy of Truth. Dordrecht: Imprint: Springer. pp. 191-210.
    The problem that motivates me arises from a constellation of factors pulling in different, sometimes opposing directions. Simplifying, they are: (1) The complexity of the world; (2) Humans’ ambitious project of theoretical knowledge of the world; (3) The severe limitations of humans’ cognitive capacities; (4) The considerable intricacy of humans’ cognitive capacities . Given these circumstances, the question arises whether a serious notion of truth is applicable to human theories of the world. In particular, I am interested in the questions: (...)
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  • On Occurrences of Types in Types.Wayne A. Davis - 2014 - Australasian Journal of Philosophy 92 (2):349-363.
    The different occurrences of a word in a sentence cannot be identified with the one word type, nor with its many tokens. What then are occurrences of a word? How can one type occur more than once in another type? Is the conception of ‘structural universals’ that leads to these questions incoherent, as Lewis maintained? I argue against the answer Wetzel suggested, which identifies sentences with functions from numbers to expressions, and propose instead that occurrences of one type in another (...)
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  • Carnap and Quine on Explanationism in Ontology.Anthony Dardis - 2023 - Acta Analytica 39 (1):19-36.
    Let “explanationism” be the view that ontology is fundamentally an explanatory enterprise. What it does is “on a par” with natural science, as Quine put it. Carnap appears to offer a “lighter weight” alternative in “Empiricism, Semantics, and Ontology”: ontology is concerned with semantics and language choice. This paper argues that Carnap’s account of the internal/external distinction is of less use than Carnap suggests for diagnosis of disputes in ontology. But he largely agrees with Quine about explanationism. I propose that (...)
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  • Against Mereological Nominalism: Reply to Effingham.Javier Cumpa & Alexandre Declos - 2021 - Synthese 199 (3-4):8991-9011.
    Mereological Nominalism, as traditionally understood, states that properties are mereological wholes and that instantiation is mereological. Thus defined, this view faces a number of well-known issues, which make it virtually untenable. Recently, Effingham :160–185, 2020) has offered an alternative account of Mereological Nominalism, which intends to avoid these problems by accepting while rejecting. In this paper, we argue that this theory is not viable for two main reasons. First, it faces a threat of circularity. Second, the various non-mereological accounts of (...)
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  • Understandability: Greg Frost-Arnold: Carnap, Tarski, and Quine at Harvard: Conversations of Logic, Mathematics, and Science. Chicago: Open Court, 2013. xiv+257pp. $49.95PB.Richard Creath - 2015 - Metascience 25 (1):25-30.
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  • No Simples, No Gunk, No Nothing.Sam Cowling - 2014 - Pacific Philosophical Quarterly 95 (1):246-260.
    Mereological realism holds that the world has a mereological structure – i.e. a distribution of mereological properties and relations. In this article, I defend Eleaticism about properties, according to which there are no causally inert non-logical properties. I then present an Eleatic argument for mereological anti-realism, which denies the existence of both mereological composites and mereological simples. After defending Eleaticism and mereological anti-realism, I argue that mereological anti-realism is preferable to mereological nihilism. I then conclude by examining the thesis that (...)
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  • (Book Review) Ontological independence as the mark of the real. [REVIEW]Mark Colyvan - 2005 - Philosophia Mathematica 13 (2):216-225.
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  • Would Carnap have tolerated modern metaphysics?Wouter A. Cohen & Marschall Benjamin - 2023 - The Monist 106 (3):326-341.
    It is well known that Carnap, early in his philosophical career, took most of metaphysics to consist of meaningless pseudostatements. In contrast to this meaning-theoretic critique of metaphysics, we develop what we take to be Carnap’s later value-based critique. We argue that this later critique is forceful against several central contemporary metaphysical debates, its origin in the principle of tolerance notwithstanding.
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  • Logic and Ontology.Nino B. Cocchiarella - 2001 - Axiomathes 12 (1-2):117-150.
    A brief review of the historicalrelation between logic and ontologyand of the opposition between the viewsof logic as language and logic as calculusis given. We argue that predication is morefundamental than membership and that differenttheories of predication are based on differenttheories of universals, the three most importantbeing nominalism, conceptualism, and realism.These theories can be formulated as formalontologies, each with its own logic, andcompared with one another in terms of theirrespective explanatory powers. After a briefsurvey of such a comparison, we argue (...)
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  • There is overlap in letters: a mereological definition of word types.Massimiliano Carrara & Jeroen Smid - 2022 - Synthese 200 (2):1-17.
    Classical mereology seems unable to characterise the identity conditions of word types. For example, the same letter types ordered differently result in different word types; but mereological fusions of the same letters are identical, regardless of the order of the letters. We show, however, that by combining classical mereology with plural logic one can give a definition of word types that satisfies the identity criteria of word types. This means that it is not necessary to abandon classical mereology in order (...)
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  • Indispensability Arguments and Their Quinean Heritage.Jacob Busch & Andrea Sereni - 2012 - Disputatio 4 (32):343 - 360.
    Indispensability arguments for mathematical realism are commonly traced back to Quine. We identify two different Quinean strands in the interpretation of IA, what we label the ‘logical point of view’ and the ‘theory-contribution’ point of view. Focusing on each of the latter, we offer two minimal versions of IA. These both dispense with a number of theoretical assumptions commonly thought to be relevant to IA. We then show that the attribution of both minimal arguments to Quine is controversial, and stress (...)
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  • Why Can’t There Be Numbers?David Builes - forthcoming - The Philosophical Quarterly.
    Platonists affirm the existence of abstract mathematical objects, and Nominalists deny the existence of abstract mathematical objects. While there are standard arguments in favor of Nominalism, these arguments fail to account for the necessity of Nominalism. Furthermore, these arguments do nothing to explain why Nominalism is true. They only point to certain theoretical vices that might befall the Platonist. The goal of this paper is to formulate and defend a simple, valid argument for the necessity of Nominalism that seeks to (...)
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  • Carnapian frameworks.Gabriel L. Broughton - 2021 - Synthese 199 (1-2):4097-4126.
    Carnap’s seminal ‘Empiricism, Semantics and Ontology’ makes important use of the notion of a framework and the related distinction between internal and external questions. But what exactly is a framework? And what role does the internal/external distinction play in Carnap’s metaontology? In an influential series of papers, Matti Eklund has recently defended a bracingly straightforward interpretation: A Carnapian framework, Eklund says, is just a natural language. To ask an internal question, then, is just to ask a question in, say, English. (...)
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  • Reducing possible worlds to language.Phillip Bricker - 1987 - Philosophical Studies 52 (3):331 - 355.
    The most commonly heard proposals for reducing possible worlds to language succumb to a simple cardinality argument: it can be shown that there are more possible worlds than there are linguistic entities provided by the proposal. In this paper, I show how the standard proposals can be generalized in a natural way so as to make better use of the resources available to them, and thereby circumvent the cardinality argument. Once it is seen just what the limitations are on these (...)
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  • Real work for aggregates.John Bigelow & Robert Pargetter - 2006 - Dialectica 60 (4):485–503.
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  • On Putnam’s Proof of the Impossibility of a Nominalistic Physics.Thomas William Barrett - 2020 - Erkenntnis 88 (1):1-28.
    In his book Philosophy of Logic, Putnam (1971) presents a short argument which reads like—and indeed, can be reconstructed as—a formal proof that a nominalistic physics is impossible. The aim of this paper is to examine Putnam’s proof and show that it is not compelling. The precise way in which the proof fails yields insight into the relation that a nominalistic physics should bear to standard physics and into Putnam’s indispensability argument.
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  • Indispensability, causation and explanation.Sorin Bangu - 2018 - Theoria : An International Journal for Theory, History and Fundations of Science 33 (2):219-232.
    When considering mathematical realism, some scientific realists reject it, and express sympathy for the opposite view, mathematical nominalism; moreover, many justify this option by invoking the causal inertness of mathematical objects. The main aim of this note is to show that the scientific realists’ endorsement of this causal mathematical nominalism is in tension with another position some of them also accept, the doctrine of methodological naturalism. By highlighting this conflict, I intend to tip the balance in favor of a rival (...)
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  • Occam’s Razor in science: a case study from biogeography.A. Baker - 2007 - Biology and Philosophy 22 (2):193-215.
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  • How to Misspell 'Paris'.James Miller - forthcoming - Philosophy.
    One feature of language is that we are able to make mistakes in our use of language. Amongst other sorts of mistakes, we can misspeak, misspell, missign, or misunderstand. Given this, it seems that our metaphysics of words should be flexible enough to accommodate such mistakes. It has been argued that a nominalist account of words cannot accommodate the phenomenon of misspelling. I sketch a nominalist trope-bundle view of words that can.
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  • Stroud’s Carnap.Marc Alspector-Kelly - 2002 - Philosophy and Phenomenological Research 64 (2):276-302.
    In “Empiricism, Semantics, and Ontology” Carnap drew his famous distinction between ‘internal’ and ‘external’ questions of existence, pronouncing the former meaningful and the latter meaningless. In The Significance of Philosophical Scepticism, Barry Stroud understands Carnap to be applying the verification criterion of meaningfulness in order to refute Cartesian skepticism. I suggest that Stroud misrepresents both Carnap’s aim and method. Carnap was responding to critics who suggested that his willingness to quantify over abstract entities in his work in semantics violated his (...)
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  • Stroud's Camap.Marc Alspector-Kelly - 2002 - Philosophy and Phenomenological Research 64 (2):276-302.
    In “Empiricism, Semantics, and Ontology” Camap drew his famous distinction between ‘internal’ and ‘external’ questions of existence, pronouncing the former meaningful and the latter meaningless. In The Significance of Philosophical Scepticism, Barry Stroud understands Carnap to be applying the verification criterion of meaningfulness in order to refute Cartesian skepticism. I suggest that Stroud misrepresents both Carnap's aim and method. Camap was responding to critics who suggested that his willingness to quantify over abstract entities in his work in semantics violated his (...)
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  • Stroud's Camap.Marc Alspector-Kelly - 2002 - Philosophy and Phenomenological Research 64 (2):276-302.
    In “Empiricism, Semantics, and Ontology” Camap drew his famous distinction between ‘internal’ and ‘external’ questions of existence, pronouncing the former meaningful and the latter meaningless. In The Significance of Philosophical Scepticism, Barry Stroud understands Carnap to be applying the verification criterion of meaningfulness in order to refute Cartesian skepticism. I suggest that Stroud misrepresents both Carnap's aim and method. Camap was responding to critics who suggested that his willingness to quantify over abstract entities in his work in semantics violated his (...)
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  • What do symbols symbolize?: Platonism.Alan Ross Anderson - 1974 - Philosophia Mathematica (1-2):11-29.
    The dispute between nominalists and Platonic realists has been with us for a long time — long enough to have assumed many forms. I don't want to rehearse the history of these various debates, or even to look at the matter from a historical point of view. But I would like to begin by distinguishing two quite different skirmishes in the general battle, one of which is new, and one of which is very old. We begin with the new one, (...)
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  • Peirce's Direct, Non-Reductive Contextual Theory of Names.David W. Agler - 2010 - Transactions of the Charles S. Peirce Society 46 (4):611-640.
    One dimension of a comprehensive semantic and semiotic theory is its explanation of how a wide-variety of linguistic expressions designate singular objects. The bulk of scholarship on Peirce's theory of proper names has aligned his theory with the so called new theory of reference by drawing connections between proper names qua rhematic indexical legisigns and various aspects of Kripke's theory of names.2 Recent scholarship has navigated away from indexing Kripke-Peirce affinities and has begun the process of articulating a semiotic or (...)
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  • Philosophy of Mathematics in the Twentieth Century: Selected Essays By Charles Parsons.Bob Hale - 2015 - Analysis 75 (3):532-535.
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  • Composition, Persistence, and Identity.Nikk Effingham - 2009 - In Robin Le Poidevin (ed.), The Routledge Companion to Metaphysics. New York: Routledge. pp. 296.
    An introduction to composition, persistence, and identity.
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  • On ontology and realism in mathematics.Haim Gaifman - 2012 - Review of Symbolic Logic 5 (3):480-512.
    The paper is concerned with the way in which “ontology” and “realism” are to be interpreted and applied so as to give us a deeper philosophical understanding of mathematical theories and practice. Rather than argue for or against some particular realistic position, I shall be concerned with possible coherent positions, their strengths and weaknesses. I shall also discuss related but different aspects of these problems. The terms in the title are the common thread that connects the various sections.
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  • Objectivity, Realism, and Proof. FilMat Studies in the Philosophy of Mathematics.Francesca Boccuni & Andrea Sereni (eds.) - 2016 - Cham, Switzerland: Springer International Publishing.
    This volume covers a wide range of topics in the most recent debates in the philosophy of mathematics, and is dedicated to how semantic, epistemological, ontological and logical issues interact in the attempt to give a satisfactory picture of mathematical knowledge. The essays collected here explore the semantic and epistemic problems raised by different kinds of mathematical objects, by their characterization in terms of axiomatic theories, and by the objectivity of both pure and applied mathematics. They investigate controversial aspects of (...)
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  • Universalism and Classes.Nikk Effingham - 2011 - Dialectica 65 (3):451-472.
    Universalism (the thesis that distinct objects always compose a further object) has come under much scrutiny in recent years. What has been largely ignored is its role in the metaphysics of classes. Not only does universalism provide ways to deal with classes in a metaphysically pleasing fashion, its success on these grounds has been offered as a motivation for believing it. This paper argues that such treatments of classes can be achieved without universalism, examining theories from Goodman and Quine, Armstrong (...)
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  • Number Concepts: An Interdisciplinary Inquiry.Richard Samuels & Eric Snyder - 2024 - Cambridge University Press.
    This Element, written for researchers and students in philosophy and the behavioral sciences, reviews and critically assesses extant work on number concepts in developmental psychology and cognitive science. It has four main aims. First, it characterizes the core commitments of mainstream number cognition research, including the commitment to representationalism, the hypothesis that there exist certain number-specific cognitive systems, and the key milestones in the development of number cognition. Second, it provides a taxonomy of influential views within mainstream number cognition research, (...)
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  • The Bradleyan Regress, Non-Relational Realism, and the Quinean Semantic Strategy.Jonathan Reid Surovell - 2016 - Grazer Philosophische Studien 93 (1):63-79.
    Non-Relational Realism is a popular solution to the Bradleyan regress of facts or truths. It denies that there is a relational universal of exemplification; for an object a to exemplify a universal F-ness, on this view, is not for a relation to subsist between a and F-ness. An influential objection to Non-Relational Realism is that it is unacceptably obscure. The author argues that Non-Relational Realism can be understood as a selective application of satisfaction semantics to predicates like ‘exemplify’, and that (...)
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  • Is Everything a Set? Quine and Pythagoreanism.Gary Kemp - 2017 - The Monist 100 (2):155-166.
    The view, in Quine, that all there are are pure sets is presented and endorsed.
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  • Willard Van Orman Quine's Philosophical Development in the 1930s and 1940s.Frederique Janssen-Lauret - 2018 - In Willard Van Orman Quine, Walter Carnielli, Frederique Janssen-Lauret & William Pickering (eds.), The Significance of the New Logic. Cambridge: Cambridge University Press.
    As analytic philosophy is becoming increasingly aware of and interested in its own history, the study of that field is broadening to include, not just its earliest beginnings, but also the mid-twentieth century. One of the towering figures of this epoch is W.V. Quine (1908-2000), champion of naturalism in philosophy of science, pioneer of mathematical logic, trying to unite an austerely physicalist theory of the world with the truths of mathematics, psychology, and linguistics. Quine's posthumous papers, notes, and drafts revealing (...)
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  • Quine, Ontology, and Physicalism.Frederique Janssen-Lauret - 2019 - In Robert Sinclair (ed.), Science and Sensibilia by W. V. Quine: The 1980 Immanuel Kant Lectures. Cham: Palgrave Macmillan. pp. 181-204.
    Quine's views on ontology and naturalism are well-known but rarely considered in tandem. According to my interpretation the connection between them is vital. I read Quine as a global epistemic structuralist. Quine thought we only ever know objects qua solutions to puzzles about significant intersections in observations. Objects are always accessed descriptively, via their roles in our best theory. Quine's Kant lectures contain an early version of epistemic structuralism with uncharacteristic remarks about the mental. Here Quine embraces mitigated anomalous monism, (...)
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  • Formal Ontology.Jani Hakkarainen & Markku Keinänen - 2023 - Cambridge: Cambridge University Press.
    Formal ontology as a main branch of metaphysics investigates categories of being. In the formal ontological approach to metaphysics, these ontological categories are analysed by ontological forms. This analysis, which we illustrate by some category systems, provides a tool to assess the clarity, exactness and intelligibility of different category systems or formal ontologies. We discuss critically different accounts of ontological form in the literature. Of ontological form, we propose a character- neutral relational account. In this metatheory, ontological forms of entities (...)
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  • The Being of Analogy.Noah Roderick - 2016 - London, U.K.: Open Humanities Press.
    Similarity has long been excluded from reality in both the analytical and continental traditions. Because it exists in the aesthetic realm, and because aesthetics is thought to be divorced from objective reality, similarity has been confined to the prison of the subject. In The Being of Analogy, Noah Roderick unleashes similarity onto the world of objects. Inspired by object-oriented theories of causality, Roderick argues that similarity is ever present at the birth of new objects. This includes the emergent similarity of (...)
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  • Pragmatic a Priori Knowledge: A Pragmatic Approach to the Nature and Object of What Can Be Known Independently of Experience.Lauri Järvilehto - 2011 - Jyväskylä University Printing House.
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  • God and Abstract Objects: The Coherence of Theism: Aseity.William Lane Craig - 2017 - Cham: Springer.
    This book is an exploration and defense of the coherence of classical theism’s doctrine of divine aseity in the face of the challenge posed by Platonism with respect to abstract objects. A synoptic work in analytic philosophy of religion, the book engages discussions in philosophy of mathematics, philosophy of language, metaphysics, and metaontology. It addresses absolute creationism, non-Platonic realism, fictionalism, neutralism, and alternative logics and semantics, among other topics. The book offers a helpful taxonomy of the wide range of options (...)
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  • What anti-realism in philosophy of mathematics must offer.Feng Ye - 2010 - Synthese 175 (1):13 - 31.
    This article attempts to motivate a new approach to anti-realism (or nominalism) in the philosophy of mathematics. I will explore the strongest challenges to anti-realism, based on sympathetic interpretations of our intuitions that appear to support realism. I will argue that the current anti-realistic philosophies have not yet met these challenges, and that is why they cannot convince realists. Then, I will introduce a research project for a new, truly naturalistic, and completely scientific approach to philosophy of mathematics. It belongs (...)
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  • Problems and meaning today: What can we learn from Hattiangadi's failed attempt to explain them together?John Wettersten - 2002 - Philosophy of the Social Sciences 32 (4):487-536.
    Philosophers have tried to explain how science finds the truth by using new developments in logic to study scientific language and inference. R. G. Collingwood argued that only a logic of problems could take context into account. He was ignored, but the need to reconcile secure meanings with changes in context and meanings was seen by Karl Popper, W. v. O. Quine, and Mario Bunge. Jagdish Hattiangadi uses problems to reconcile the need for security with that for growth. But he (...)
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  • Conventionalism and the Impoverishment of the Space of Reasons: Carnap, Quine and Sellars.Kenneth R. Westphal - 2015 - Journal for the History of Analytical Philosophy 3 (8).
    This article examines how Quine and Sellars develop informatively contrasting responses to a fundamental tension in Carnap’s semantics ca. 1950. Quine’s philosophy could well be styled ‘Essays in Radical Empiricism’; his assay of radical empiricism is invaluable for what it reveals about the inherent limits of empiricism. Careful examination shows that Quine’s criticism of Carnap’s semantics in ‘Two Dogmas of Empiricism’ fails, that at its core Quine’s semantics is for two key reasons incoherent and that his hallmark Thesis of Extensionalism (...)
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  • Informal proof, formal proof, formalism.Alan Weir - 2016 - Review of Symbolic Logic 9 (1):23-43.
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  • How Carnap built the world in 1928.Anders Wedberg - 1973 - Synthese 25 (3-4):337 - 371.
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  • Metaphysics and the Future-Like-Ours Argument Against Abortion.Eric Vogelstein - 2016 - The Journal of Ethics 20 (4):419-434.
    Don Marquis’s “future-like-ours” argument against the moral permissibility of abortion is widely considered the strongest anti-abortion argument in the philosophical literature. In this paper, I address the issue of whether the argument relies upon controversial metaphysical premises. It is widely thought that future-like-ours argument indeed relies upon controversial metaphysics, in that it must reject the psychological theory of personal identity. I argue that that thought is mistaken—the future-like-ours argument does not depend upon the rejection of such a theory. I suggest, (...)
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  • Sign and Object : Quine’s forgotten book project.Sander Verhaegh - 2019 - Synthese 196 (12):5039-5060.
    W. V. Quine’s first philosophical monograph, Word and Object, is widely recognized as one of the most influential books of twentieth century philosophy. Notes, letters, and draft manuscripts at the Quine Archives, however, reveal that Quine was already working on a philosophical book in the early 1940s; a project entitled Sign and Object. In this paper, I examine these and other unpublished documents and show that Sign and Object sheds new light on the evolution of Quine’s ideas. Where “Two Dogmas (...)
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  • Blurring Boundaries: Carnap, Quine, and the Internal–External Distinction.Sander Verhaegh - 2017 - Erkenntnis 82 (4):873-890.
    Quine is routinely perceived as saving metaphysics from Carnapian positivism. Where Carnap rejects metaphysical existence claims as meaningless, Quine is taken to restore their intelligibility by dismantling the former’s internal–external distinction. The problem with this picture, however, is that it does not sit well with the fact that Quine, on many occasions, has argued that metaphysical existence claims ought to be dismissed. Setting aside the hypothesis that Quine’s metaphysical position is incoherent, one has to conclude that his views on metaphysics (...)
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